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Problems
f
(
x
)
=
{
1
−
cos
4
x
x
2
,
x
<
0
a
,
x
=
0
x
16
+
x
−
4
,
x
>
0
f(x) = \begin{cases} \frac{1 - \cos 4x}{x^2} & , x < 0 \\ a & , x = 0 \\ \frac{\sqrt{x}}{\sqrt{16 + \sqrt{x}} - 4} & , x > 0 \end{cases}
f
(
x
)
=
⎩
⎨
⎧
x
2
1
−
c
o
s
4
x
a
16
+
x
−
4
x
,
x
<
0
,
x
=
0
,
x
>
0
…
Mathematics
Problem
f
(
x
)
=
{
1
−
cos
4
x
x
2
,
x
<
0
a
,
x
=
0
x
16
+
x
−
4
,
x
>
0
f(x) = \begin{cases} \frac{1 - \cos 4x}{x^2} & , x < 0 \\ a & , x = 0 \\ \frac{\sqrt{x}}{\sqrt{16 + \sqrt{x}} - 4} & , x > 0 \end{cases}
f
(
x
)
=
⎩
⎨
⎧
x
2
1
−
c
o
s
4
x
a
16
+
x
−
4
x
,
x
<
0
,
x
=
0
,
x
>
0
If
f
(
x
)
f(x)
f
(
x
)
is continuous at
x
=
0
x = 0
x
=
0
, find the value of
a
a
a
.
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